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412422242224212 = 223411279014147483
BaseRepresentation
bin101110111000110001000100…
…1001111101100100001010100
32000002021011220011120122120000
41131301202021033230201110
5413024111223002133322
64021052055033211300
7152604344426432523
oct13561421117544124
92002234804518500
10412422242224212
1110a457321a01080
123a30a23a560b30
1314918334649c8c
1473bb4b33c04ba
1532a30b04713ac
hex17718893ec854

412422242224212 has 120 divisors (see below), whose sum is σ = 1176209573845152. Its totient is φ = 124971927624000.

The previous prime is 412422242224211. The next prime is 412422242224243. The reversal of 412422242224212 is 212422242224214.

412422242224212 is a `hidden beast` number, since 4 + 1 + 2 + 4 + 2 + 2 + 2 + 4 + 222 + 421 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412422242224211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 97365423 + ... + 101512905.

Almost surely, 2412422242224212 is an apocalyptic number.

It is an amenable number.

412422242224212 is an abundant number, since it is smaller than the sum of its proper divisors (763787331620940).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

412422242224212 is a wasteful number, since it uses less digits than its factorization.

412422242224212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4175411 (or 4175400 counting only the distinct ones).

The product of its digits is 131072, while the sum is 36.

Adding to 412422242224212 its reverse (212422242224214), we get a palindrome (624844484448426).

The spelling of 412422242224212 in words is "four hundred twelve trillion, four hundred twenty-two billion, two hundred forty-two million, two hundred twenty-four thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 81 99 108 132 162 198 297 324 396 594 891 1188 1782 3564 27901 55802 83703 111604 167406 251109 306911 334812 502218 613822 753327 920733 1004436 1227644 1506654 1841466 2259981 2762199 3013308 3682932 4147483 4519962 5524398 8286597 8294966 9039924 11048796 12442449 16573194 16589932 24859791 24884898 33146388 37327347 45622313 49719582 49769796 74654694 91244626 99439164 111982041 136866939 149309388 182489252 223964082 273733878 335946123 410600817 447928164 547467756 671892246 821201634 1231802451 1343784492 1642403268 2463604902 3695407353 4927209804 7390814706 14781629412 115718923183 231437846366 347156769549 462875692732 694313539098 1041470308647 1272908155013 1388627078196 2082940617294 2545816310026 3124410925941 3818724465039 4165881234588 5091632620052 6248821851882 7637448930078 9373232777823 11456173395117 12497643703764 15274897860156 18746465555646 22912346790234 34368520185351 37492931111292 45824693580468 68737040370702 103105560556053 137474080741404 206211121112106 412422242224212